Theorems · Theorem · real analysis
Real.hasDerivAt_tan
∀ {x : ℝ}, Real.cos x ≠ 0 → HasDerivAt Real.tan (1 / Real.cos x ^ 2) x- Cited by
- 6 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexproof · cited by 5,565
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Complex.ofRealproof · cited by 1,654
- Complex.reproof · cited by 882
- HasDerivAtstatement · cited by 493
- Real.cosstatement and proof · cited by 424
- Complex.cosproof · cited by 279
- Real.tanstatement and proof · cited by 100
- HasDerivAt.congr_simpproof · cited by 82
- Complex.tanproof · cited by 77
Cited by6
Results whose statement or proof uses this declaration.
- Real.contDiff_arctanproof · cited by 4
- Real.continuousAt_tanproof · cited by 2
- Real.differentiableAt_tanproof · cited by 1
- Real.deriv_tan_sub_idproof · cited by 1
- Real.hasDerivAt_tan_of_mem_Iooproof · cited by 1
- Real.deriv_tanproof · cited by 0